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6425062480 = 24531101113227
BaseRepresentation
bin1011111101111011…
…01010110001010000
3121120202212222210001
411332331222301100
5101124303444410
62541315215344
7315135062404
oct57675526120
917522788701
106425062480
1127a78645a1
1212b38a7554
137b5173b25
1444d459104
152790ec33a
hex17ef6ac50

6425062480 has 160 divisors (see below), whose sum is σ = 15779847168. Its totient is φ = 2429952000.

The previous prime is 6425062459. The next prime is 6425062487. The reversal of 6425062480 is 842605246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6425062487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28304127 + ... + 28304353.

Almost surely, 26425062480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425062480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889923584).

6425062480 is an abundant number, since it is smaller than the sum of its proper divisors (9354784688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6425062480 is a wasteful number, since it uses less digits than its factorization.

6425062480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 6425062480 is about 80156.4874479914. The cubic root of 6425062480 is about 1859.0559127629.

The spelling of 6425062480 in words is "six billion, four hundred twenty-five million, sixty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 101 113 124 155 202 226 227 248 310 404 452 454 496 505 565 620 808 904 908 1010 1130 1135 1240 1616 1808 1816 2020 2260 2270 2480 3131 3503 3632 4040 4520 4540 6262 7006 7037 8080 9040 9080 11413 12524 14012 14074 15655 17515 18160 22826 22927 25048 25651 28024 28148 31310 35030 35185 45652 45854 50096 51302 56048 56296 57065 62620 70060 70370 91304 91708 102604 112592 114130 114635 125240 128255 140120 140740 182608 183416 205208 228260 229270 250480 256510 280240 281480 353803 366832 410416 456520 458540 513020 562960 707606 710737 795181 913040 917080 1026040 1415212 1421474 1590362 1769015 1834160 2052080 2590751 2830424 2842948 3180724 3538030 3553685 3975905 5181502 5660848 5685896 6361448 7076060 7107370 7951810 10363004 11371792 12722896 12953755 14152120 14214740 15903620 20726008 25907510 28304240 28429480 31807240 41452016 51815020 56858960 63614480 80313281 103630040 160626562 207260080 321253124 401566405 642506248 803132810 1285012496 1606265620 3212531240 6425062480